4020161200 has 120 divisors (see below), whose sum is σ = 10636194240. Its totient is φ = 1448044800.

The previous prime is 4020161183. The next prime is 4020161209. The reversal of 4020161200 is 21610204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4020161209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466531 + ... + 475069.

It is an arithmetic number, because the mean of its divisors is an integer number (88634952).

Almost surely, 2^4020161200 is an apocalyptic number.

4020161200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318097120).

4020161200 is an abundant number, since it is smaller than the sum of its proper divisors (6616033040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020161200 is a wasteful number, since it uses less digits than its factorization.

4020161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4020161200 is about 63404.7411476460. The cubic root of 4020161200 is about 1590.0635761665.

Adding to 4020161200 its reverse (21610204), we get a palindrome (4041771404).

The spelling of 4020161200 in words is "four billion, twenty million, one hundred sixty-one thousand, two hundred".